Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	167
2672.2.a.a	$2672$	$2$	2672.a	1.a	$1$	$1$	$1$	$21.336$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-q^{7}-3q^{9}-2q^{13}-2q^{17}+\cdots\)
2672.2.a.c	$2672$	$2$	2672.a	1.a	$1$	$2$	$2$	$21.336$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-6\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-3q^{5}+(-1-\beta )q^{7}+\beta q^{9}+\cdots\)
2672.2.a.e	$2672$	$2$	2672.a	1.a	$1$	$2$	$2$	$21.336$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(1-2\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2672.2.a.f	$2672$	$2$	2672.a	1.a	$1$	$2$	$2$	$21.336$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(3-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2672.2.a.h	$2672$	$2$	2672.a	1.a	$1$	$3$	$3$	$21.336$	3.3.733.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+(2+\beta _{2})q^{9}+(-3+\cdots)q^{11}+\cdots\)
2672.2.a.j	$2672$	$2$	2672.a	1.a	$1$	$5$	$5$	$21.336$	5.5.826865.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(10\)	\(-9\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{3}+2q^{5}+(-2+\beta _{3}+\cdots)q^{7}+\cdots\)